Abstract
The new approach of designing computation algorithms for simulation of transient dynamics in solids and structures is proposed. The algorithms are based on explicit finite-difference scheme built under special conditions imposed on the values of difference mesh parameters. The designed calculation devices possess a minimal influence of spurious effects of numerical dispersion that allows discontinuities and high-gradient components caused by wave fronts and fracture events to be accurately computed. A set of advanced computer algorithms and calculation examples of 1D/2D model and engineering problems are presented: (a) longitudinal impact onto a rod embedded into an elastic medium, (b) propagation of cylindrical and spherical waves with front discontinuities, (c) stress concentrations near a head surface of hard projectile indented into elastic solids and (d) transient wave dynamics and delamination in fiber reinforced composites.
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